Transient process and optimal design of receiver coil for small‐loop transient electromagnetics

Distributed parameters of the receiver coils greatly affect transient electromagnetic signals over short time periods, causing a delay in the signal's effective sampling time and the loss of shallow exploration information. This paper investigates the influence of transient process on apparent resistivity calculation and analyses the relations between the error of apparent resistivity and receiver coil design. We find that, under the same effective area, different radii of the receiver coils lead to different levels of impact on the estimation of the apparent resistivity. An optimization model is proposed to determine the optimal receiver coil size that gives rise to the smallest estimation error of the apparent resistivity. The relationship between the optimal radius and the effective areas is developed, which serves as a guideline for the optimal receiver coil design. The results may provide a useful means for improving the accuracy of the small loop transient electromagnetic instrumentation for shallow‐depth mapping.

[1]  M. Nabighian Quasi-static transient response of a conducting half-space; an approximate representation , 1979 .

[2]  James C. MacNae An Atlas of Primary Fields Due to fixed Transmitter Loop EM Sources + Erratum , 1980 .

[3]  Art Raiche,et al.  Comparison of apparent resistivity functions for transient electromagnetic methods , 1983 .

[4]  M. E. El-Hawary,et al.  Control system engineering , 1984 .

[5]  Art Raiche,et al.  Apparent resistivity and diffusion velocity , 1985 .

[6]  Brian R. Spies,et al.  Depth of investigation in electromagnetic sounding methods , 1989 .

[7]  S. Sandberg,et al.  EXAMPLES OF RESOLUTION IMPROVEMENT IN GEOELECTRICAL SOUNDINGS APPLIED TO GROUNDWATER INVESTIGATIONS1 , 1993 .

[8]  The application of TEM to cyprus-type massive sulfide exploration in Cyprus , 1994 .

[9]  A. Peter Annan,et al.  Using an induction coil sensor to indirectly measure the B-field response in the bandwidth of the transient electromagnetic method , 1999 .

[10]  Evaluation of small-loop transient electromagnetic soundings to locate the Sherwood Sandstone aquifer and confining formations at well sites in the Vale of York, England , 2000 .

[11]  Richard S. Smith,et al.  Robust estimation of the band‐limited inductive‐limit response from impulse‐response TEM measurements taken during the transmitter switch‐off and the transmitter off‐time: Theory and an example from Voisey’s Bay, Labrador, Canada , 2000 .

[12]  F. Kamenetsky,et al.  Distortions of EM transients in coincident loops at short time‐delays , 2000 .

[13]  P. M. van den Berg,et al.  An apparent‐resistivity concept for low‐frequency electromagnetic sounding techniques , 2000 .

[14]  Qin Yu,et al.  A study on stray capacitance modeling of inductors by using the finite element method , 2001 .

[15]  D. Sattel,et al.  The feasibility of electromagnetic gradiometer measurements , 2001 .

[16]  S. L. Fontes,et al.  Deep structure of the northeastern margin of the Parnaiba Basin, Brazil, from magnetotelluric imaging , 2002 .

[17]  Esben Auken,et al.  SkyTEM–a New High-resolution Helicopter Transient Electromagnetic System , 2004 .

[18]  Haoping Huang,et al.  Depth Of Investigation For Small Broadband Electromagnetic Sensors , 2004 .

[19]  Esben Auken,et al.  Piecewise 1D laterally constrained inversion of resistivity data , 2005 .

[20]  G. Ranieri,et al.  TEM‐fast small‐loop soundings to map underground tunnels and galleries connecting the rock‐hewn churches of Lalibela, Ethiopia , 2005 .

[21]  Yu Shengbao,et al.  ATTEM: An Instrument System Using Transient Electromagnetic Pulse for Subsurface Imaging , 2006, 2006 IEEE Instrumentation and Measurement Technology Conference Proceedings.

[22]  Jun Lin,et al.  A Study on Solution of Transient Electromagnetic Response During Transmitting Current Turn-off in the ATTEM System , 2006 .

[23]  Guoqiang Xue,et al.  Transient electromagnetic S‐inversion in tunnel prediction , 2007 .

[24]  A. Christiansen,et al.  A review of helicopter‐borne electromagnetic methods for groundwater exploration , 2009 .

[25]  Shu Yan,et al.  Transient electromagnetic sounding using a 5 m square loop , 2009 .

[26]  Jun Matsushima,et al.  Integrated geoelectrical survey for groundwater and shallow subsurface evaluation: case study at Siliyin spring, El-Fayoum, Egypt , 2010 .

[27]  Wang Hua Characteristics of damping coefficient effect on transient electromagnetic signal , 2010 .

[28]  Leiv-J. Gelius,et al.  3D pseudo‐seismic imaging of transient electromagnetic data – a feasibility study , 2013 .